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Finding the Fourth Proportional to 1,025.68, 1,535.82 and 613.84

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Solution

The fourth proportional to 1,025.68, 1,535.82 and 613.84 is: 919.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025.68 : 1,535.82 = 613.84 : x
  2. Step 2: Convert to fraction form
    1,025.68/1,535.82 = 613.84/x
  3. Step 3: Cross multiply
    1,025.68x = 1,535.82 × 613.84
  4. Step 4: Simplify right side
    1,025.68x = 942,747.75
  5. Step 5: Solve for x
    x = 942,747.75/1,025.68
  6. Step 6: Final answer
    x = 919.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.